| 一类四阶非线性微分方程解的有界性及稳定性 |
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| 引用本文： | 胡爱莲. 一类四阶非线性微分方程解的有界性及稳定性[J]. 四川师范大学学报(自然科学版), 2006, 29(6): 692-695 |
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| 作者姓名： | 胡爱莲 |
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| 作者单位： | 喀什师范学院,数学系,新疆,喀什,844007 |
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| 基金项目： | 新疆维吾尔自治区高校科研计划科学研究基金 |
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| 摘 要： | 运用Liapunov函数方法,研究了一类四阶非线性微分方程解的有界性和稳定性,给出了解的有界性和稳定性的充分条件,所得结果包含并改进了已有文献的一些结论．
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| 关 键 词： | 非线性微分方程 Liapunov函数 有界性 渐近稳定性 |
| 文章编号： | 1001-8395（2006）06-0692-04 |
| 收稿时间： | 2005-06-22 |
| 修稿时间： | 2005-06-22 |
Boundedness and Stability of Solutions for a Class of Fourth Order Nonlinear Differential Equations |
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| HU Ai-lian. Boundedness and Stability of Solutions for a Class of Fourth Order Nonlinear Differential Equations[J]. Journal of Sichuan Normal University(Natural Science), 2006, 29(6): 692-695 |
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| Authors: | HU Ai-lian |
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| Abstract: | In this paper, the boundedness and stability of solutions for a class of fourth order nonlinear differential equations are studied by using the method of Hapunov function. The sufficient condition which guarantees the boundedness and stability of solutions are presented. The work improvs the existing results in references. |
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| Keywords: | Nonlinear differential equations Liapunov function Asymptotic stability Boundedness |
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